Validity of double scaling analysis
processes - production at HERA
Tapobrata Sarkar - Rahul Basu
The Institute of Mathematical Sciences, Chennai (Madras) 600 113, India (e-mail: sarkar,email@example.com)
Received: 17 December 1997 / Published online: 10 March 1998
In this paper we check the validity of the ideas of double scaling as given by Ball and Forte in a semi inclusive process like production at HERA, in different kinematical regions, for low values of the Bjorken variable x. In particular, we study production in the inelastic and diffractive (elastic) regimes using the double scaling form of the gluon distribution functions. We compare these predictions with data (wherever available) and with other standard parameterisations. We find that double scaling holds in the inelastic regime over a larger kinematic region than that given by the analysis of the proton structure function F2p. However, in the diffractive region, double scaling seems to suggest an admixture of hard pomeron boundary conditions for the gluon distribution, while predicting a steeper rise in the cross section than suggested by present data.